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"Simpson's Rule Cumulative Integration with MS Excel and Irregularly-spaced Data" (PDF). Journal of Mathematical Sciences and Mathematics Education. 12 (2): 1–9; Kalambet, Yuri; Kozmin, Yuri; Samokhin, Andrey (2018). "Comparison of integration rules in the case of very narrow chromatographic peaks".
In mathematics, extrapolation is a type of estimation, beyond the original observation range, of the value of a variable on the basis of its relationship with another variable. It is similar to interpolation , which produces estimates between known observations, but extrapolation is subject to greater uncertainty and a higher risk of producing ...
In numerical analysis, multivariate interpolation or multidimensional interpolation is interpolation on multivariate functions, having more than one variable or defined over a multi-dimensional domain. [1]
A Technical Note on the Smith-Wilson Method, The Financial Supervisory Authority of Norway, (1 July 2010) Lagerås, Andreas & Lindholm, Mathias.
Bicubic interpolation on the square [,] [,] consisting of 25 unit squares patched together. Bicubic interpolation as per Matplotlib's implementation. Colour indicates function value.
Prediction outside this range of the data is known as extrapolation. Performing extrapolation relies strongly on the regression assumptions. The further the extrapolation goes outside the data, the more room there is for the model to fail due to differences between the assumptions and the sample data or the true values.
Minimum polynomial extrapolation — for vector sequences; Richardson extrapolation; Shanks transformation — similar to Aitken's delta-squared process, but applied to the partial sums; Van Wijngaarden transformation — for accelerating the convergence of an alternating series
Nearest neighbor interpolation (blue lines) in one dimension on a (uniform) dataset (red points) Nearest neighbor interpolation on a uniform 2D grid (black points). Each colored cell indicates the area in which all the points have the black point in the cell as their nearest black point.